Finding the Third Proportional to 123,298.88 and 269,426.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,298.88 : 269,426.25 = 269,426.25 : x
2. Step 2: Convert to fraction form
   123,298.88/269,426.25 = 269,426.25/x
3. Step 3: Cross multiply
   123,298.88x = 269,426.25 × 269,426.25
4. Step 4: Simplify right side
   123,298.88x = 72,590,504,189.06
5. Step 5: Solve for x
   x = 72,590,504,189.06/123,298.88
6. Step 6: Final answer
   x = 588,736.14